Homework Help is Here – Start Your Trial Now!
Math
Advanced Math
b) A company makes a blend consisting of two chemicals, A and B, in the ratio 5 : 2 by weight. These chemicals can be manufactured by 3 different processes using two different raw materials (R₁ and R₂) and fuel. Here is the production data (in units): How much time should each process Process 1 2 3 Requirements per unit time R₂ Fuel 50 72 101 1850 R 9 6 4 Amount available 200 5 8 11 390 Output per unit time A 9 6 10 be run in order to maximize the amount of blend manufactured? B 6 9 12

b) A company makes a blend consisting of two chemicals, A and B, in the ratio 5 : 2 by weight. These chemicals can be manufactured by 3 different processes using two different raw materials (R₁ and R₂) and fuel. Here is the production data (in units): How much time should each process Process 1 2 3 Requirements per unit time R₂ Fuel 50 72 101 1850 R 9 6 4 Amount available 200 5 8 11 390 Output per unit time A 9 6 10 be run in order to maximize the amount of blend manufactured? B 6 9 12

Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
Problem 28EQ
See similar textbooks
icon
Related questions
Question

answer number 2

1. Formulate a mathematical model to the following problem. Describe the variables and constraint used: a) A farmer has to purchase feeds of type A, B and C in the following amounts: • At least 185kg of type A . At most 100kg of type • At least 80kg and at most 100kg of type C He can buy these quantities from two different stores. The first store can sell up to 350kg of all types of feeds, and the second store up to 300kg of all types. The cost (in pesos) of the various types of feed at the two shops is given in the table: Shop Process 1 2 1 2 3 How can the farmer fulfill his feed requirements at minimal cost? b) A company makes a blend consisting of two chemicals, A and B, in the ratio 5 : 2 by weight. These chemicals can be manufactured by 3 different processes using two different raw materials (R₁ and R₂) and fuel. Here is the production data (in units): How much time should each process Price per kilogram of feed type 2 13.9 17.8 R 9 6 1 45 42.5 Requirements per unit time R₂ Fuel 5 50 8 72 11 101 390 1850 4 Amount available 200 Output per unit time A B 9 6 6 9 10 12 be run in order to maximize the amount of blend manufactured?
Transcribed Image Text:1. Formulate a mathematical model to the following problem. Describe the variables and constraint used: a) A farmer has to purchase feeds of type A, B and C in the following amounts: • At least 185kg of type A . At most 100kg of type • At least 80kg and at most 100kg of type C He can buy these quantities from two different stores. The first store can sell up to 350kg of all types of feeds, and the second store up to 300kg of all types. The cost (in pesos) of the various types of feed at the two shops is given in the table: Shop Process 1 2 1 2 3 How can the farmer fulfill his feed requirements at minimal cost? b) A company makes a blend consisting of two chemicals, A and B, in the ratio 5 : 2 by weight. These chemicals can be manufactured by 3 different processes using two different raw materials (R₁ and R₂) and fuel. Here is the production data (in units): How much time should each process Price per kilogram of feed type 2 13.9 17.8 R 9 6 1 45 42.5 Requirements per unit time R₂ Fuel 5 50 8 72 11 101 390 1850 4 Amount available 200 Output per unit time A B 9 6 6 9 10 12 be run in order to maximize the amount of blend manufactured?
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 7 images

SEE SOLUTIONCheck out a sample Q&A here
Blurred answer